澳洲幸运5官方开奖结果体彩网

Naive Diversification vs. Optimization

Growth

/Pixabay.com (CC0-)

Naive diversification is best described as a rough and, more or less, instinctive common-sense division of a portfolio, without bothering with sophisticated mathematical models. At worst, say some𝕴 pundits, this app𒁏roach can make portfolios very risky. Then again, some recent research indicates that this kind of informed, but informally logical division, is just as effective as those fancy, optimizing formulas.

Key Takeaways

  • Naive diversification is dividing an investment portfolio simply and by instinct rather than relying on complex mathematical models.
  • Optimized, or sophisticated, diversification, on the other hand, utilizes complex mathematical formulas to diversify a portfolio.
  • Sophisticated diversification seeks to maximize gains and minimize risks but isn't always effective.
  • Complex models often have unknown variables and estimation errors, making naive diversification a better option in some instances.

Naive vs. Optimization

Not surprisingly, individual investors rarely use complex asset allocation methodologies. These have intimidating names, such as mean-variance optimization, 澳洲幸运5官方开奖结果体彩网:Monte Carlo simulation, or the 澳洲幸运5官方开奖结果体彩网:Treynor-Black model, all of which are engineered to produce an optimal portfolio, 💯one which yജields the maximum return at the minimum risk, which is indeed the investor's dream.

In fact, a couple of investigations into 澳洲幸运5官方开奖结果体彩网:optimization theory, such as "Optimal Versus Naive Diversification: How Efficient Is the 1/N Portfolio Strategy," conducted by the London Business School's Dr. Victor DeMiguel et al., have argued against the effectiveness of sophisticated models. The difference between them and the naive approach is not 澳洲幸运5官方开奖结果体彩网:statistically significant; they point out that really basic models perform quite well.

Is the average private investor's way of simply having a bit of this and a bit of that really any less viable? This is an extremely important issue and at the very core of investing. One rabbi, Issac bar Aha, seems to have been the grandfather of it all, having proposed around the fourth century, that one should "put a third in land, a third in merchandise, and a third in cash." It's pretty good advice that is still sound enough, centuries later.

To some cynics and scientists, it seems too simple to be true, that one can achieve anything close to an optimum merely by putting one-third of your money in real estate, one-third in securities (the modern equivalent of🌟 merchandise), and the rest in cash. Alternatively, the classic pie charts that are divided into high-, medium-, and low-risk portfolios are very straightforward, and there may be nothing wrong with them.

Even 澳洲幸运5官方开奖结果体彩网:Harry Markowitz, who won the 澳洲幸运5官方开奖结果体彩网:Nobel Memꦅorial Prize in Economic S𝓀ciences for his optimization models, evidently just divided his money equally between bonds and equities, for psychological reasons. It was simple and transparent; in practice, he was happy to leave behind his own award-winning theories when it came to his own funds.

Shades of Naivety and the Term Itself 

There is more to the issue, however. German professor of banking and finance Martin Weber, explains that there are different types of naive models, some of which are a lot better than others. Professor Shlomo Benartzi of UCLA also confirms that naive investors are heavily influenced by what they are offered.

For this reason, if they go to a stockbroker, they may end up with too many equities, or be overweight in debt instruments if they go to a bond specialist. Furthermore, there areꦺ many different types of equities, such as small- and large-cap, foreign and local, etc., so any bias could lead to a disastrous, or at least, sub-optimally naive portfolio.

In the same vein, the concept of naivety can itself be simplistic and some🎃what unfair.

Being naive in the sense of being gullible and ill-informed is, indeed, very likely to lead to disaster. Yet, if naive is taken at its original meaning of natural an🦩d unaffected; translating to a sensible and logical, if unsophisticated, approach (ignorant of technical modeling techniques), there is no real reason for it to fail.

In other words, it is arguably the negative connotations of the word "naivety" that are the real issue here—the use of a derogatory label.

Fast Fact

Investors can diversify companies, sectors, countries,𓆏 an𝔍d assets in their portfolios.

Complexity Does Not Always Help 

Coming from the other side, methodological complexity and sophisticated mo🧸dels do not necessarily lead to investment optimality, in practice. The literature is quite clear on this and given the complexity of the financial markets, it is hardly surprising.

Their mixture of economic, political, and human factors 𝓀is daunting, such that models are always vulnerable to some form of unpredictable shock, or combination of factors that cannot be integrated effectively into a model.

Dr. Victor DeMiguel and his co-researchers concede that complex approaches are seriously constrained by estimation problems. For the statistically minded, the "true moments of asset returns" are unknown, leading to potentially large estimation errors.

Consequently, a sensibly constructed portfolio, which is regularly monitored and rebalanced in terms of what is happening at the time, not only has intuitive appeal, but it can perform just as well as some far more sophisticated approaches that are constrained by their own complexity and opacity. That is, the model may not integrate all the necessary factors, or may not respond sufficiently to environmental changeඣs as they occur.

Likewise, apart from asset-class diversification, we all know that an equity portfolio should also be diversified in itself. In this context too, the proponents of naive allocation have demonstrated that having more than around 15 stocks adds no further diversification benefit. Thus🎐, a complicated equity mix is ꦺprobably counterproductive.

What Is an Example of Naive Diversification?

For example, an investor has $12,000 to invest in the market. They want to diversify their portfolio so they aren't concentrated in one asset class. The investor simply decides to equally divide their portfolio into three asset classes. The investor allocates $4,000 to stocks, $4,000 to bonds, and $4,000 to commodities. The investor did not rely on complicated mathematical models to diversify their portfolio but instead used naive diversification.

What Is the 5% Rule of Diversification?

The 5% rule of diversification states that one stock should not make up more than 5% of the investor's overall portfolio. Every investor's financial goals will differ as well as their analysis, so this rule may not matter to certain investors and in fact, some investors may want a large concentration in one stock.

Does Warren Buffett Believe in Diversification?

Warren Buffett believes in diversification for the average investor who does not have the time or skill to analyze specific companies. He does not believe in diversification for professional investors because he believes it makes no sense to own many stocks just to diversify. He thinks professional investors should have a solid understanding of the companies they're picking and why, and because of this, there is no need for diversification because the investor will be picking good stocks.

The Bottom Line

The one thing on which everyone agrees is that diversification is absolutely essential. However, the 澳洲幸运5官方开奖结果体彩网:benef🌌its of advanced mathematical modeling are uncl🌠ear; for most investor🧸s, how they operate is even less clear.

Although computerized models can look impressive, there is a danger of being blinded by science. Some such models may work well, but others are no better than simply being sensible. The old adage "stick with what you know and understand" may apply as much to straightforward, transparent asset allocations as it does to various forms of 澳洲幸运5官方开奖结果体彩网:structured investment products.

Article Sources
Investopedia requires writers to use primary sources to support their work. These include white papers, government data, original reporting, and interviews with industry experts. We also reference original research from other reputable publishers where appropriate. You can learn more about the standards we follow in producing accurate, unbiased content in our editorial policy.
  1. DeMiguel, Victor, Lorenzo Garlappi, Francisco J. Nogales, and Raman Uppal, via JSTOR."" The Review of Financial Studies, vol. 22, no. 5, 2009, pp. 1915-1953.

  2. The Nobel Prize. "."

  3. The New York Times. ""

  4. SSRN Electronic Journal. "."

  5. Informs PubsOnLine. "."

  6. DeMiguel, Victor, Lorenzo Garlappi, Francisco J. Nogales, and Raman Uppal, via JSTOR. "." Management Science, vol. 55, no. 5, 2009, pp. 798-812.

  7. Yahoo! Finance. "."

Compare Accounts
The offers that appear in this table are from partnerships from which Investopedia receives compensation. This compensation may impact how and where listings appear. Investopedia does not include all offers available in the marketplace.

Related Articles